Mathematical symbols and computing methods in high dimensional biomimetic informatics and their applications

High dimensional biomimetic informatics (HDBI) is a novel theory of informatics developed in recent years. Its primary object of research is points in high dimensional Euclidean space, and its exploratory and resolving procedures are based on simple geometric computations. However, the mathematical descriptions and computing of geometric objects are inconvenient because of the characters of geometry. With the increase of the dimension and the multiformity of geometric objects, these descriptions are more complicated and prolix especially in high dimensional space. In this paper, we give some definitions and mathematical symbols, and discuss some symbolic computing methods in high dimensional space systematically from the viewpoint of HDBI. With these methods, some multi-variables problems in high dimensional space can be solved easily. Three detailed algorithms are presented as examples to show the efficiency of our symbolic computing methods: the algorithm for judging the center of a circle given three points on this circle, the algorithm for judging whether two points are on the same side of a hyperplane, and the algorithm for judging whether a point is in a simplex constructed by points in high dimensional space. Two experiments in blurred image restoration and uneven lighting image correction are presented for all these algorithms to show their good behaviors.

Practical Criterion for Universal Laws and Practical Methods for Construction of Co-variance Sets

给出相对论力学中普遍定律的实用判别法和协变集的实用构造法,还给出实现非普遍定律的“可导出性”的一种实用方法．

Study of thin-film SO2 gas sensors by photometric and ellipsometric methods

Pt-, Pd-, and Zr-doped SnO2 thin films and dopant-free VOx films were fabricated by planar magnetron sputtering. Tests for sensitivity to SO2 for all samples were conducted at 180 degreesC, and the sensitivities were investigated ex situ with photometric and ellipsometric methods at room temperature. It was found that the optical sensitivities as well as the sensitive wavelength region for SnO2 films could be tuned by doping. The Pd-doped SnO2 films had good sensitivity in the visible range, and the Zr-doped in the near IR. The dominant sensitive wavelength region for VOx films fell into the visible range, and the ratio of the sensitivity in the visible to that in the near IR increased with O-2/Ar in the depositing atmosphere. (C) 2001 society of Photo-Optical instrumentation Engineers .

New algorithms of the TSM and TOM methods for calibrating microwave test fixtures

Based on the conventional through-short-match (TSM) method, an improved TSM method has been proposed in this Letter. This method gives an analytical solution and has almost all the advantages of conventional TSM methods. For example, it has no phase uncertainty and no bandwidth limitation. The experimental results show that the accuracy can be significantly improved with this method. The proposed theory can be applied to the through-open-match (TOM) method. (C) 2002 Wiley Periodicals. Inc.

Interaction between alpha-actinin and negatively charged lipids membrane investigated by surface plasmon resonance and electrochemical methods

alpha-Actinin has been shown to be capable of interacting with some special membrane phospholipids directly, which is important for its function. In this study, hybrid bilayer membranes composed of negatively charged lipids are constructed on the surface plasmon resonance gold substrate and on the gold electrode, respectively, and the interaction between alpha-actinin and negatively charged lipids membrane is investigated by surface plasmon resonance, cyclic voltammetry and electrochemical impedance spectroscopy methods. alpha-Actinin is proved to be able to interact with the negatively charged lipids membrane directly. It can also insert at least partly into the membrane or lead to some defect or lesion in the membrane, which increase the permeability of the membrane. This study would bring some insight on the interaction between the alpha-actinin and the cell membranes in vivo.

The interaction of recombinant Pseudomonas aeruginosa exotoxin A with DNA and mimic biomembrane investigated by surface plasmon resonance and electrochemical methods

Based on the multidomain structure of Pseudomonas aeruginosa exotoxin A, a fusion protein termed rPEA has been constructed, which is expected to serve as a gene carrier in vitro. The expression and purification of rPEA are described. The basal properties of rPEA as a gene carrier are evaluated by investigating its interaction with plasmid DNA and mimic biomembrane by surface plasmon resonance (SPR) and electrochemical methods. rPEA is proved to be able to bind with plasmid DNA with high affinity. It can also interact with lipid membrane and increase permeability of the membrane, so the probe molecules can easily reach the gold surface and exhibit the electrochemical response.

Synthesis of phenyl/amino-capped tetraaniline by chemical and electrochemical methods

Phenyl/amino-capped tetraaniline was prepared by chemical oxidation coupling and electrochemical cyclic voltammetry methods. The MacDiarmid's method of oxidation coupling was improved. The aqueous HCl was replaced with a mixture solution of HCl and acetone and (NH4)(2)S(2)O(0)8 was used as oxidant instead of FeCl3. The reaction displays a higher yield and the product tetraaniline has a higher purity owing to the improvement. In the mixture solution system, tetraaniline can be synthesized by electrochemical cyclic voltammetry method. The mechanism by which tetraaniline was prepared from p-amino diphenylamine was proposed. The product was characterized by MALDI-TOF MS and FTIR.